A man spends 80% of his income and saves the rest. what percentage of his expenditure does he save ?a.40b.25c.20d.30

1. Break Down the Problem

We need to determine what percentage of his expenditure (spending) the man saves if he saves 20% of his income after spending 80% of it.

2. Relevant Concepts

Let:

• $I$ = Income
• Expenditure = 80% of Income = $0.8I$ -Savings = 20% of Income = $0.2I$

3. Analysis and Detail

To find the percentage of expenditure that corresponds to savings:

1. Expenditure is given by: $E = 0.8I$
2. Savings is given by: $S = 0.2I$
3. We need to calculate $\frac{S}{E}$: $\frac{S}{E} = \frac{0.2I}{0.8I} = \frac{0.2}{0.8} = 0.25$

4. Verify and Summarize

The calculation shows that the savings represent 25% of the expenditure.

Final Answer

The percentage of his expenditure that he saves is 25% (Option b).